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def definition def or abbrev

IsVariationalTrajectory

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formal statement (Lean)

 357def IsVariationalTrajectory {N : ℕ} (traj : Trajectory N) : Prop :=

proof body

Definition body.

 358  ∀ t, IsVariationalSuccessor (traj t) (traj (t + 1))
 359
 360/-- **Theorem (Deterministic Evolution)**:
 361    If two trajectories start from the same initial state and both
 362    follow the variational dynamics, they are identical.
 363
 364    This is the equation-of-motion analogue of Laplacian determinism:
 365    initial conditions + update rule = unique future. -/

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